The parent function is:
The transformed function is:
Comparison of simplified transformed function with the parent function:
- The function multiplying by a number indicates dilation.
- The function is being compressed in vertical direction by a factor of 2 if the number lies between 0 and 1.
- Subtracting a number from x indicates a horizontal shift towards right.
- That is the parent function is transformed 5 units to right.
- Subtracting a number from the function indicates a downward shift.
- That is the parent function is transformed 3 units down.
Hence the graph of 
is the graph of 
stretched vertically, shifted right by 10 unit and shifted 3 unit down.
The image of the graph is attached below.
I like point point form because it doesn't fail in the no slope case. The line through (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
Point slope form is almost the same,
1. (a,b)=(4,0),(c,d)=(-2,1)
y - 0 = (1 - 0)/(-2 - 4) (x - 4)
Answer: y = (-1/6)(x-4)
2.
y - -2 = (3 - -2)/(5 - -3) (x - -3)
Answer: y + 2 = (5/8) (x+3)
3.
y - 1 = (4 - 1)/(3 - -5) (x - -5)
Answer: y - 1 = (3/8) (x+5)
Answer:
y=1/2x
Step-by-step explanation:
Slope intercept form is the most commonly used linear equation:
It goes like this:
In this equation, m is the slope and b is the y-intercept.
Your line has a slope of 1/2. So, your m-value is 1/2.
y=1/2x+b
B, your y-intercept, is at the origin.
The origin is the point (0,0).
So b, is 0 (y-intercept is the y-value when x is 0)
y=1/2x+0
=
y=1/2x
9 yards is about 8 meters
Answer:
4.2 cm
Step-by-step explanation:
The law of cosines is applicable.
l² = k² +m² -2km·cos(L)
l² = 5.1² +1.2² -2·5.1·1.2·cos(35°) ≈ 17.4236
l ≈ √17.4236
l ≈ 4.2 . . . cm
